Twisted strong Macdonald theorems and adjoint orbits
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Publication:907353
DOI10.1016/j.jalgebra.2015.10.026zbMath1385.17009arXiv1105.2971OpenAlexW2963821662MaRDI QIDQ907353
Publication date: 25 January 2016
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1105.2971
Lie algebra cohomologyaffine Lie algebrasloop algebrasaffine root systemMacdonald constant term identities
Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Group actions on varieties or schemes (quotients) (14L30) Cohomology of Lie (super)algebras (17B56) Root systems (17B22)
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Cites Work
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- A Brylinski filtration for affine Kac-Moody algebras
- On the property M conjecture for the Heisenberg Lie algebra
- Some conjectures and results concerning the homology of nilpotent Lie algebras
- Infinite dimensional Lie algebras. An introduction
- A proof of Andrews' \(q\)-Dyson conjecture
- Cyclic homology and the Macdonald conjectures
- Double affine Hecke algebras and Macdonald's conjectures
- The Poincaré series of a Coxeter group
- Lie algebra cohomology and the fusion rules
- The strong Macdonald conjecture and Hodge theory on the loop Grassmannian
- Lie algebra cohomology and generalized Schubert cells
- Sur la cohomologie des espaces fibrés principaux et des espaces homogènes de groupes de Lie compacts
- Cohomology of Lie algebras
- A generalization of Selberg’s beta integral
- The Principal Three-Dimensional Subgroup and the Betti Numbers of a Complex Simple Lie Group
- Semi-infinite cohomology and string theory
- A Proof of the $G_2 $ Case of Macdonald’s Root System-Dyson Conjecture
- A Short Proof of MacDonald's Conjecture for the Root Systems of Type A
- A Unified Approach to Macdonald’s Root-System Conjectures
- Some Conjectures for Root Systems
- Macdonald’s constant term conjectures for exceptional root systems
- Differential forms on quotients by reductive group actions
- A proof of the 𝑞-Macdonald-Morris conjecture for 𝐵𝐶_{𝑛}
- SCHUBERT CELLS AND COHOMOLOGY OF THE SPACESG/P
- Lie Group Representations on Polynomial Rings
- Self-extensions of Verma modules and differential forms on opers
- Fixed point schemes
- Cohomology Theory of Lie Groups and Lie Algebras
- Invariants of Finite Groups Generated by Reflections
- A new class of symmetric functions
- Jet schemes of locally complete intersection canonical singularities.
- Self-dual Koornwinder-Macdonald polynomials
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